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Finding the Fourth Proportional to 2,313.75, 3,472.08 and 1,218.90

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Solution

The fourth proportional to 2,313.75, 3,472.08 and 1,218.90 is: 1,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.75 : 3,472.08 = 1,218.90 : x
  2. Step 2: Convert to fraction form
    2,313.75/3,472.08 = 1,218.90/x
  3. Step 3: Cross multiply
    2,313.75x = 3,472.08 × 1,218.90
  4. Step 4: Simplify right side
    2,313.75x = 4,232,118.31
  5. Step 5: Solve for x
    x = 4,232,118.31/2,313.75
  6. Step 6: Final answer
    x = 1,829.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.